X and Z invest capital in the ratio of 2 : 1 while X and Y invest capital in the ratio of 3 : 2. If their annual profit is Rs. 157300 then what is Y share ?

Answer: Option A

Given
X : Z = 2 : 1
X : Y = 3 : 2

X : Z = 2 : 1 (multiply with 3)
X : Y = 3 : 2 (multiply with 2)

i.e X : Z = 6 : 3
X : Y = 6 : 4

∴ X : Y : Z = 6 : 4 : 3
According to the question
(6 + 4 + 3) units = Rs.157300
13 units = Rs.157300
1 unit = Rs.12100
4 units = Rs.12100 × 4 = Rs. 48400
∴ Share of Y = Rs. 48400